/export/starexec/sandbox2/solver/bin/starexec_run_FirstOrder /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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MAYBE
We consider the system theBenchmark.

We are asked to determine termination of the following first-order TRS.

  0 : [] --> o 
  app : [o * o] --> o 
  cons : [] --> o 
  false : [] --> o 
  height : [] --> o 
  if : [] --> o 
  le : [] --> o 
  map : [] --> o 
  maxlist : [] --> o 
  nil : [] --> o 
  node : [] --> o 
  s : [] --> o 
  true : [] --> o 

  app(app(map, X), nil) => nil 
  app(app(map, X), app(app(cons, Y), Z)) => app(app(cons, app(X, Y)), app(app(map, X), Z)) 
  app(app(le, 0), X) => true 
  app(app(le, app(s, X)), 0) => false 
  app(app(le, app(s, X)), app(s, Y)) => app(app(le, X), Y) 
  app(app(maxlist, X), app(app(cons, Y), Z)) => app(app(if, app(app(le, X), Y)), app(app(maxlist, Y), Z)) 
  app(app(maxlist, X), nil) => X 
  app(height, app(app(node, X), Y)) => app(s, app(app(maxlist, 0), app(app(map, height), Y)))